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Finding the Fourth Proportional to 212,095.72, 292,697.72 and 115,306.12

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Solution

The fourth proportional to 212,095.72, 292,697.72 and 115,306.12 is: 159,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,095.72 : 292,697.72 = 115,306.12 : x
  2. Step 2: Convert to fraction form
    212,095.72/292,697.72 = 115,306.12/x
  3. Step 3: Cross multiply
    212,095.72x = 292,697.72 × 115,306.12
  4. Step 4: Simplify right side
    212,095.72x = 33,749,838,426.05
  5. Step 5: Solve for x
    x = 33,749,838,426.05/212,095.72
  6. Step 6: Final answer
    x = 159,125.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.